{"id":"https://openalex.org/W2147835999","doi":"https://doi.org/10.1117/12.848604","title":"A method for recognizing the shape of a Gaussian mixture from a sparse sample set","display_name":"A method for recognizing the shape of a Gaussian mixture from a sparse sample set","publication_year":2010,"publication_date":"2010-02-04","ids":{"openalex":"https://openalex.org/W2147835999","doi":"https://doi.org/10.1117/12.848604","mag":"2147835999"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.848604","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1046&context=ecepubs","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083817903","display_name":"Hector Santos-Villalobos","orcid":"https://orcid.org/0000-0001-8749-0636"},"institutions":[{"id":"https://openalex.org/I2801333002","display_name":"Purdue University System","ror":"https://ror.org/05p8z3f47","country_code":"US","type":"education","lineage":["https://openalex.org/I2801333002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hector J. Santos-Villalobos","raw_affiliation_string":"Purdue Univ., United States.","raw_affiliation_strings":["Purdue Univ., United States."]},{"author_position":"last","author":{"id":"https://openalex.org/A5079564554","display_name":"Mireille Boutin","orcid":null},"institutions":[{"id":"https://openalex.org/I2801333002","display_name":"Purdue University System","ror":"https://ror.org/05p8z3f47","country_code":"US","type":"education","lineage":["https://openalex.org/I2801333002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mireille Boutin","raw_affiliation_string":"Purdue Univ., United States.","raw_affiliation_strings":["Purdue Univ., United States."]}],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":0,"cited_by_percentile_year":{"min":0,"max":70},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T13126","display_name":"Theoretical and Computational Physics","score":0.9995,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13126","display_name":"Theoretical and Computational Physics","score":0.9995,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14339","display_name":"Automated Reconstruction of Fragmented Objects","score":0.9964,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10770","display_name":"Digital Soil Mapping Techniques","score":0.9952,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"keyword":"gaussian mixture","score":0.6965},{"keyword":"sparse sample","score":0.5851},{"keyword":"shape","score":0.2648}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6408237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5984476},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5577825},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.48608378},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.46969295},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.45147175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44920528},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38745582},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3552385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22651604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1697649},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.086072594},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.848604","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://docs.lib.purdue.edu/ecepubs/47","pdf_url":"https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1046&context=ecepubs","source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":["Purdue University System"],"type":"repository"},"license":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://docs.lib.purdue.edu/ecepubs/47","pdf_url":"https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1046&context=ecepubs","source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":["Purdue University System"],"type":"repository"},"license":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"referenced_works_count":8,"referenced_works":["https://openalex.org/W1980666386","https://openalex.org/W2011484769","https://openalex.org/W2164741924","https://openalex.org/W2166481425","https://openalex.org/W2181393575","https://openalex.org/W2432517183","https://openalex.org/W2541469612","https://openalex.org/W2981264952"],"related_works":["https://openalex.org/W1578916557","https://openalex.org/W1992295166","https://openalex.org/W2143508933","https://openalex.org/W2169866437","https://openalex.org/W1964286703","https://openalex.org/W4206327962","https://openalex.org/W2010009304","https://openalex.org/W2990323019","https://openalex.org/W2014494654","https://openalex.org/W3130349901"],"ngrams_url":"https://api.openalex.org/works/W2147835999/ngrams","abstract_inverted_index":{"The":[0,82,99],"motivating":[1],"application":[2],"for":[3,41],"this":[4],"research":[5],"is":[6,25,103,116],"the":[7,42,52,55,76,80,89,108,123,131,161],"problem":[8,132],"of":[9,15,21,54,91,93,101,107,110,122,133],"recognizing":[10,137],"a":[11,18,26,38,61,71,104,128,148],"planar":[12,27],"object":[13,35,56],"consisting":[14],"points":[16,50,67],"from":[17,70,88],"noisy":[19],"observation":[20,43,53],"that":[22],"object.":[23],"Given":[24],"Gaussian":[28,72,112,124,164],"mixture":[29,73],"model":[30,40],"ρT":[31,94],"(x)":[32,95],"representing":[33,51],"an":[34],"along":[36],"with":[37,75],"noise":[39],"process":[44],"(the":[45,57],"template).":[46],"Also":[47],"given":[48,162],"are":[49,166],"query).":[58],"We":[59],"propose":[60],"method":[62,83],"to":[63,130],"determine":[64],"if":[65],"these":[66],"were":[68],"drawn":[69],"ρQ(x)":[74],"same":[77],"shape":[78,109,139],"as":[79],"template.":[81],"consists":[84],"in":[85],"comparing":[86],"samples":[87],"distribution":[90,100],"distances":[92,102],"and":[96,120,155],"ρQ(x),":[97],"respectively.":[98],"faithful":[105],"representation":[106],"generic":[111],"mixtures.":[113],"Since":[114],"it":[115,126],"invariant":[117],"under":[118],"rotations":[119],"translations":[121],"mixture,":[125],"provides":[127],"workaround":[129],"aligning":[134],"objects":[135],"before":[136],"their":[138],"without":[140],"sacrificing":[141],"accuracy.":[142],"Experiments":[143],"using":[144],"synthetic":[145],"data":[146],"show":[147],"robust":[149],"performance":[150],"against":[151],"type":[152,157],"I":[153],"errors,":[154],"few":[156],"II":[158],"errors":[159],"when":[160],"template":[163],"mixtures":[165],"well":[167],"distinguished.":[168]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2147835999","counts_by_year":[],"updated_date":"2024-03-24T02:11:16.243884","created_date":"2016-06-24"}